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Finding the Third Proportional to 24,065,258 and 51,966,784

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Solution

The third proportional to 24,065,258 and 51,966,784 is: 112,217,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065,258 : 51,966,784 = 51,966,784 : x
  2. Step 2: Convert to fraction form
    24,065,258/51,966,784 = 51,966,784/x
  3. Step 3: Cross multiply
    24,065,258x = 51,966,784 × 51,966,784
  4. Step 4: Simplify right side
    24,065,258x = 2,700,546,639,302,656
  5. Step 5: Solve for x
    x = 2,700,546,639,302,656/24,065,258
  6. Step 6: Final answer
    x = 112,217,647.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.